EXISTENCE RESULTS FOR THE STATIC CONTACT PROBLEM WITH COULOMB-FRICTION

Authors
ECK C JARUSEK J
Citation
C. Eck et J. Jarusek, EXISTENCE RESULTS FOR THE STATIC CONTACT PROBLEM WITH COULOMB-FRICTION, Mathematical models and methods in applied sciences, 8(3), 1998, pp. 445-468
Citations number
8
Categorie Soggetti
Mathematics,Mathematics
Journal title
Mathematical models and methods in applied sciences → ACNP
ISSN journal
02182025
Volume
8
Issue
3
Year of publication
1998
Pages
445 - 468
Database
ISI
SICI code
0218-2025(1998)8:3<445:ERFTSC>2.0.ZU;2-S
Abstract
We prove the existence of solutions to the static contact problem with Coulomb friction, provided that the coefficient of friction is small enough. The proof employs the penalty method and a certain smoothing p rocedure for the friction functional. Using optimal trace estimates fo r the solutions of the Lame equations, we calculate an upper bound for the admissible coefficient of friction which is greater than the corr esponding bounds proposed by Necas, Jarusek and Haslinger (1980) and b y Jarusek (1983).